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Finding the Fourth Proportional to 3,165.02, 4,367.66 and 1,838.84

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Solution

The fourth proportional to 3,165.02, 4,367.66 and 1,838.84 is: 2,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.02 : 4,367.66 = 1,838.84 : x
  2. Step 2: Convert to fraction form
    3,165.02/4,367.66 = 1,838.84/x
  3. Step 3: Cross multiply
    3,165.02x = 4,367.66 × 1,838.84
  4. Step 4: Simplify right side
    3,165.02x = 8,031,427.91
  5. Step 5: Solve for x
    x = 8,031,427.91/3,165.02
  6. Step 6: Final answer
    x = 2,537.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.